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The minimal number of join irreducibles of a finite modular lattice

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Publication:1906528
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DOI10.1007/BF01190972zbMath0843.06004MaRDI QIDQ1906528

Marcel Wild

Publication date: 1 February 1996

Published in: Algebra Universalis (Search for Journal in Brave)


zbMATH Keywords

subdirect factorsmodular latticejoin irreducibles


Mathematics Subject Classification ID

Modular lattices, Desarguesian lattices (06C05)


Related Items (3)

On the number of join irreducibles and acyclicity in finite modular lattices ⋮ Tight embedding of modular lattices into partition lattices: progress and program ⋮ Enumerating maximal consistent closed sets in closure systems



Cites Work

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  • Cover-preserving order embeddings into Boolean lattices
  • Cover preserving embedding of modular lattices into partition lattices
  • A geometric description of modular lattices
  • Acyclic modular lattices and their representations
  • Projective Geometry on Partially Ordered Sets
  • Linear spaces with few lines




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